document.write( "Question 124949: (2x-1/6)-2=(1/9)x-3 \n" ); document.write( "
Algebra.Com's Answer #91588 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"%282x-1%29%2F6-2=%281%2F9%29x-3\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%2818%29%28%282x-1%29%2F6-2%29=%2818%29%28%281%2F9%29x-3%29\" Multiply both sides by the LCM of 18. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"3%282x-1%29-36=2x-54\" Distribute and multiply the LCM to each side\r
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\n" ); document.write( "\n" ); document.write( "\"6x-3-36=2x-54\" Distribute again\r
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\n" ); document.write( "\n" ); document.write( "\"6x-39=2x-54\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"6x=2x-54%2B39\"Add 39 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"6x-2x=-54%2B39\" Subtract 2x from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"4x=-54%2B39\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"4x=-15\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-15%29%2F%284%29\" Divide both sides by 4 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=-15%2F4\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"x=-15%2F4\" (which is approximately \"x=-3.75\" in decimal form)\r
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